# Question Video: Converting Grams-Weight into Dynes Mathematics

What is 807 g-wt in dynes? Take 𝑔 = 9.8 m/s².

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### Video Transcript

What is 807 gram-weight in dynes? Take gravity to equal 9.8 meters per second squared.

So first of all, in this question, let’s understand what the units are we’re looking at. So first of all, we have gram-weight which can also be known as gram-force. So what gram-force or gram-weight is, is a gravitational unit of force. And what this is, is a force with which a body of the unit mass is attracted by the Earth towards its center. So therefore, for a gram-weight or gram-force itself, we can say it’s the force with which a mass of one gram is attracted by the Earth towards its center.

And if we take a look at a dyne, what a dyne is, is the absolute unit force. And this is the force which produces an acceleration of one centimeter per second squared in a mass of one gram. So before we can work out what 807 gram-weight is in dynes, what we need to do is take a look at our acceleration due to gravity. So here we have 9.8 meters per second squared. But in dynes, what we’re looking at is centimeters per second squared. So what we’re gonna do is multiply this by 100. So when we do, what we get is 980 centimeters per second squared. So therefore, to convert from gram-weight to dynes, what we’re gonna do is multiply by 980.

So 807 gram-weight is equal to 807 multiplied by 980. And then the unit will be dynes. So this is gonna give us a final answer of 790,860 dynes.